自伴算子序列极限的本质谱
数学物理
2012-08-28 v2 math.MP
摘要
对于按预解范数收敛的自伴算子序列，推导出了一个公式，该公式通过序列中元素的本质谱表达了极限算子的本质谱。
引用
@article{arxiv.1208.4686,
title = {Essential spectrum of a limit of self--adjoint operators},
author = {Dmitry K. Gridnev},
journal= {arXiv preprint arXiv:1208.4686},
year = {2012}
}
备注
The paper has been withdrawn due to a wrong example concerning compact operators. Furthermore, the proof in Weidmann's back appears to be correct. With thanks to F. Gesztesy and Gerhard Teschl